Solve using the U-Technique Question 12 Consider ) x(1+v) dx and using u-substitution in rewriting the integrand as a function of u and du. Determine u if dx is replaced by 2(u – 1)du. A B 1+Vx D x+x/x

Q: Let F(x, y, z) = y° z°i+ 2xyz³j+ 3xy° z²k. (a) Find the domain of F, and show that F is…

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Q: 75. F(x) : (t + 2) dt

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Q: tate and Prove Euler's Theorem on homogeneous functions.

A: Statement :                       Euler's theorem states that if f is a homogeneous function of…

Q: f:(-2,1]→[0,12] literal and overlapping function 12 if įs(x) dx = 13andſls*(x) đx =5 [f*(x) dx=? 10

A: Given :f:-2,1→0,12 literal and overlapping function.∫-21fxdx=13     →1∫06f-1xdx=5    →2To…

Q: дz az Use the chain rule to find and Əs Ət əz Əs əz at = = ¹(=), z = tan u = 3s + 5t, v = 5s - 3t

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Q: u" - 16u = 0

A: Given the differential equation is u" - 16u = 0. Here the auxiliary equation is m2 - 16 = 0

Q: Prove that 1 3V2 dx < 3 + x (Hint: Theorem 5.9(ii) and carefully chosen functions should do the…

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Q: The function y = 2x – cos x have two variables (x and y), these variables called

A: Here, the given equation is y=2x-cosx , which is a function of two variables(x and y). The name of…

Q: tan(2 – j5) j(2-j5) +7- jv2 In(-5)| (3220° – sin 20 + jln5)*|

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Q: One method to obtain an approximate solution is to plot the function and determine where it crosses…

A: True  is correct ans

Q: EXERCISE 1 dy -dx = 0

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Q: Let u(x,y)=4x+3x2y−y3. Part (a) Show that u is a harmonic function. Part (b) Find a harmonic…

A: The given problem is to show that the given function u(x,y) is harmonic function and also to find…

Q: Determine whether the equation defines y as a linear function of x. If so, write it in the for…

A: For the given function, 2√x +3y= 0 3y= -2√x y= -(2/3)*√x So y is not a linear function of x.  Option…

Q: Problems For Problems 1-14, determine whether the given set S of vectors is closed under addition…

A: Here , S=Q, set of all rational numbers. We check whether the set Q is closed under addition i.e. we…

Q: Anonymous 1 d Question 5 5 Express the expression, In (8x^2 * y^3), in terms of u and v, where u In…

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Q: Integrate to find F as a function of x and demonstrate the Second Fundamental Theorem of Calculus by…

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Q: In integrating the function f(3x + 5)(cos) dv using integration by parts, what would you choose for…

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Q: Determine ext the derivative OF X² + Intan(x)

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Q: du du dx' dy 1) u = 3x²y + xlny² - Inxy 2) u =xe*Y+ ‡ ArcTan , 3) u = +2²-3² I. Find and (whenever…

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Q: Find: WxtWy sWxy Way,Wxx Wyy,Wz, Wzz WZx;WZy, Wyz, Wxz W= sinh (xy-Z)

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Q: Use the Fundamental Theorem of Calculus Part I to find dh/dx given h(x) = cost dt (Hìnt: need…

A: Answer:  By fundamental theorem of calculus  Let fx=∫axbx gt. dt   dfdx=gbx.b'x-gax.a'x

Q: Find a suitable substitution for evaluating ∫tan x sec2 x dx andexplain your choice.

A: we have to integrate the following integral using a suitable substitution. ∫tanx.sec2xdx

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A: Given that the actual weight of the sugar in one of the bags is normally distributed with mean 2.04…

Q: Evaluate this function of z = cos x sin y; x = u – v, y= u² + v². Use chain - dz rule to find ди А.…

A: The given function are z=cosx siny; x=u-v, y=u2+v2.   Rewrite the given the function as follows.…

Q: 2-Express each function in the form u(x, y) + iv(x, y), where u and v are real, (c) ez2 (d) In(1+…

A: We have to write in u(x,y) and v(x,y) form.

Q: Find the cosine of ZF. G 22 cos (F) √55 H = 33 Write your answer in simplified, rationalized form.…

A: To determine the cosine ratio